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Digiron [165]
4 years ago
14

Find the volume and surface area

Mathematics
1 answer:
kirza4 [7]4 years ago
4 0
 i think the awnser is 63 im  not the sure
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Twenty five is the quotient of a number y and 3.5
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Shannon’s rectangular countertop is 3 feet wide. It is 3 times as long as it is wide. Find the length and area of Shannon’s coun
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3 years ago
ASAP Write the equation of a line that is perpendicular to the given line and that passes through the given point.
motikmotik

Answer:

 y = - 3/2x - 4

Step-by-step explanation:

 m = - 3/2 ( use the opposite reciprocal of the slope given)  Perpendicula lines have opposite reciprocal slope

2.  Find b by plugging in the m and one of the points given into y = mx + b

   5= - 3/2 ( - 6 ) + b

    5 = 9 + b

      - 4= b

3. Write the equation using the m and the b you just found

 y = - 3/2x - 4

7 0
3 years ago
For which value(s) of the constant k is the circle x² + (y − k)² = 16 tangent to the line y = 3?
STALIN [3.7K]

<em>Answer:</em>

<em />

<em>Step-by-step explanation:Let us find points of intersection of line  </em>

<em>3 </em>

<em>x </em>

<em>+ </em>

<em>4 </em>

<em>y </em>

<em>− </em>

<em>k </em>

<em>= </em>

<em>0 </em>

<em> and circle  </em>

<em>x </em>

<em>2 </em>

<em>+ </em>

<em>y </em>

<em>2 </em>

<em>= </em>

<em>16 </em>

<em>. We can do this by putting value of  </em>

<em>y </em>

<em> from first equation i.e.  </em>

<em>y </em>

<em>= </em>

<em>k </em>

<em>− </em>

<em>3 </em>

<em>x </em>

<em>4 </em>

<em> and we get </em>

<em> </em>

<em>x </em>

<em>2 </em>

<em>+ </em>

<em>( </em>

<em>k </em>

<em>− </em>

<em>3 </em>

<em>x </em>

<em>) </em>

<em>2 </em>

<em>16 </em>

<em>= </em>

<em>16 </em>

<em> </em>

<em>or  </em>

<em>16 </em>

<em>x </em>

<em>2 </em>

<em>+ </em>

<em>k </em>

<em>2 </em>

<em>+ </em>

<em>9 </em>

<em>x </em>

<em>2 </em>

<em>− </em>

<em>6 </em>

<em>k </em>

<em>x </em>

<em>= </em>

<em>256 </em>

<em> </em>

<em>i.e.  </em>

<em>25 </em>

<em>x </em>

<em>2 </em>

<em>− </em>

<em>6 </em>

<em>k </em>

<em>x </em>

<em>+ </em>

<em>k </em>

<em>2 </em>

<em>− </em>

<em>256 </em>

<em>= </em>

<em>0 </em>

<em> </em>

<em>This would give two values of  </em>

<em>x </em>

<em> and corresponding two values of  </em>

<em>y </em>

<em> i.e. two points. But tangent cuts the circle in only at one point. This will be so when discriminant is zero i.e. </em>

<em> </em>

<em>( </em>

<em>− </em>

<em>6 </em>

<em>k </em>

<em>) </em>

<em>2 </em>

<em>− </em>

<em>4 </em>

<em>⋅ </em>

<em>25 </em>

<em>⋅ </em>

<em>( </em>

<em>k </em>

<em>2 </em>

<em>− </em>

<em>256 </em>

<em>) </em>

<em>= </em>

<em>0 </em>

<em> </em>

<em>or  </em>

<em>− </em>

<em>64 </em>

<em>k </em>

<em>2 </em>

<em>+ </em>

<em>25600 </em>

<em>= </em>

<em>0 </em>

<em> or  </em>

<em>k </em>

<em>= </em>

<em>± </em>

<em>20 </em>

<em> </em>

<em>graph{(x^2+y^2-16)(3x+4y-20)(3x+4y+20)=0 [-10, 10, -5, 5]}</em>

5 0
4 years ago
Read 2 more answers
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